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Finding the Fourth Proportional to 37,147.76, 55,720.92 and 9,068

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Solution

The fourth proportional to 37,147.76, 55,720.92 and 9,068 is: 13,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147.76 : 55,720.92 = 9,068 : x
  2. Step 2: Convert to fraction form
    37,147.76/55,720.92 = 9,068/x
  3. Step 3: Cross multiply
    37,147.76x = 55,720.92 × 9,068
  4. Step 4: Simplify right side
    37,147.76x = 505,277,302.56
  5. Step 5: Solve for x
    x = 505,277,302.56/37,147.76
  6. Step 6: Final answer
    x = 13,601.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.